20451198988800 has 960 divisors, whose sum is σ = 75747388464000. Its totient is φ = 5404392161280.

The previous prime is 20451198988799. The next prime is 20451198988823. The reversal of 20451198988800 is 888989115402.

20451198988800 is a `hidden beast` number, since 2 + 0 + 451 + 1 + 98 + 98 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25279602796 + ... + 25279603604.

It is an arithmetic number, because the mean of its divisors is an integer number (78903529650).

Almost surely, 2^{20451198988800} is an apocalyptic number.

20451198988800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20451198988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37873694232000).

20451198988800 is an abundant number, since it is smaller than the sum of its proper divisors (55296189475200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20451198988800 is a wasteful number, since it uses less digits than its factorization.

20451198988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 63.

The spelling of 20451198988800 in words is "twenty trillion, four hundred fifty-one billion, one hundred ninety-eight million, nine hundred eighty-eight thousand, eight hundred".